We present a method for estimating functions on topologically and/or geometrically complex surfaces from possibly noisy observations. Our approach is an extension of spline smoothing, using a Þnite element method. The paper has a substantial tutorial component: we start by reviewing smoothness measures for functions deÞned on surfaces, simplicial surfaces and differentiable structures on such s...

An investigation was designed to determine whether or not the required smoothness has been reached. This is still a controversial subject among clinicians. Ten cylindrical metal samples of equal sizes with various degrees of smoothness were prepared, and their degrees of smoothness were assessed in a blind manner by 14 periodontists, who were asked to group them as smooth or rough using a perio...

Watermarking of 3D data has gathered renewed interest due to the explosion of graphic content and animated motion movies. This paper discusses non-blind watermarking of 3D models in the spatial domain. The proposed method estimates the local smoothness variation of the mesh to select vertices for inserting a watermark. Smoothness variation of the surface represented by the 1ring neighborhood of...

OBJECTIVE We investigated whether surface smoothness of articular cartilage in the medial tibiofemoral compartment quantified from magnetic resonance imaging (MRI) could be appropriate as a diagnostic marker of osteoarthritis (OA). METHOD At baseline, 159 community-based subjects aged 21 to 81 with normal or OA-affected knees were recruited to provide a broad range of OA states. Smoothness wa...

In this paper, a study of environmental effects on the deformation and smoothness behavior of jointed plain concrete pavement ( JPCP) during its early age is presented. A newly constructed JPCP on US-34 near Burlington, Iowa, was instrumented and monitored during the critical time immediately following construction to identify its early-age behavior regarding temperature variations. The surface...

Contrasting with smoothness, non-smoothness occurs widely around the world. There are many typical non-smooth surface morphologies in living creatures. Non-smooth surfaces have some special functions during the evolution of living creatures. According to the traditional conception, the body surface is smoother, and the adhesion force is smaller. In many cases, the surfaces of some products or w...

In this paper, hexamethyltetramine is introduced into the electroplating bath to improve surface morphology of electrodeposited copper. The cyclic voltammetry (CV) and dynamic polarization curves are used study effect Cu(Ⅰ) on electrochemical behaviors solution. After implementing copper experiment, scanning electron microscope (SEM) X-ray diffraction (XRD) explore influence Surface crystal pla...

We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles, parameterizing them as a four dimensional surface with boundary in appropriate function spaces. Then we establish smoothness properties of the solution surface in the four parameters. The smo...